Bernoulli free-boundary problems

DOI10.1090/memo/0914zbMath1167.35001OpenAlexW2078995174MaRDI QIDQ5505694

Eugene Shargorodsky, John F. Toland

Publication date: 28 January 2009

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0914

zbMATH Keywords

Riemann-Hilbert problemHilbert transformStokes wavesboundary regularitynonlinear pseudo-differential equationBernoulli free boundaries

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Free boundary problems for PDEs (35R35) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Riemann-Hilbert problems in context of PDEs (35Q15) Free-surface potential flows for incompressible inviscid fluids (76B07) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02)

Related Items (20)

Traveling water waves — the ebb and flow of two centuries ⋮ Global bifurcation of steady gravity water waves with critical layers ⋮ An estimate for the Morse index of a Stokes wave ⋮ Babenko's equation for periodic gravity waves on water of finite depth: derivation and numerical solution ⋮ Non-existence of global energy minimisers in Stokes waves problems ⋮ The subharmonic bifurcation of Stokes waves on vorticity flow ⋮ A geometric approach to generalized Stokes conjectures ⋮ No solitary waves in 2D gravity and capillary waves in deep water ⋮ A new formulation of the water wave problem for Stokes waves of constant vorticity ⋮ Qualitative study of effects of vorticity on traveling wave solutions to the two-component Zakharov–Itō system ⋮ The Benjamin-Lighthill conjecture for steady water waves (revisited) ⋮ Steady periodic water waves with constant vorticity: Regularity and local bifurcation ⋮ On the existence of extreme waves and the Stokes conjecture with vorticity ⋮ On the exponential integrability of conjugate functions ⋮ Structure and location of branch point singularities for Stokes waves on deep water ⋮ A cut finite element method for the Bernoulli free boundary value problem ⋮ An inequality connecting entropy distance, Fisher information and large deviations ⋮ A tale of two Nekrasov's integral equations ⋮ A Riemann-Hilbert problem with a vanishing coefficient and applications to Toeplitz operators ⋮ A physics-informed learning approach to Bernoulli-type free boundary problems

This page was built for publication: Bernoulli free-boundary problems